Strong coupling, Monte Carlo methods, conformal field theory, and random systems
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Bibliographic Information
Strong coupling, Monte Carlo methods, conformal field theory, and random systems
（Cambridge monographs on mathematical physics, . Statistical field theory ; v. 2）
Cambridge University Press, 1991
- : pbk
Available at / 46 libraries
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Science and Technology Library, Kyushu University
: pbk421.4/I 91/2003212001002213,
068222192002786 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: pbk530.1/IT92080199241
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Note
Includes bibliographies and index
Description and Table of Contents
Description
Volume 1: From Brownian Motion to Renormalization and Lattice Gauge Theory. Volume 2: Strong Coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. This two-volume work provides a comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research. The first volume provides a pedagogical introduction to the subject, discussing Brownian motion, its anticommutative counterpart in the guise of Onsager's solution to the two-dimensional Ising model, the mean field or Landau approximation, scaling ideas exemplified by the Kosterlitz-Thouless theory for the XY transition, the continuous renormalization group applied to the standard phi-to the fourth theory (the simplest typical case) and lattice gauge theory as a pathway to the understanding of quark confinement in quantum chromodynamics. The second volume covers more diverse topics, including strong coupling expansions and their analysis, Monte Carlo simulations, two-dimensional conformal field theory, and simple disordered systems. The book concludes with a chapter on random geometry and the Polyakov model of random surfaces which illustrates the relations between string theory and statistical physics. The two volumes that make up this work will be useful to theoretical physicists and applied mathematicians who are interested in the exciting developments which have resulted from the synthesis of field theory and statistical physics.
Table of Contents
- 1. Diagrammatic methods
- 2. Numerical simulations
- 3. Conformal invariance
- 4. Disordered systems and Fermionic methods
- 5. Random geometry.
by "Nielsen BookData"